1005257828085 has 16 divisors (see below), whose sum is σ = 1838185742976. Its totient is φ = 459546435648.

The previous prime is 1005257828083. The next prime is 1005257828087. The reversal of 1005257828085 is 5808287525001.

It is an interprime number because it is at equal distance from previous prime (1005257828083) and next prime (1005257828087).

It is not a de Polignac number, because 1005257828085 - 2¹ = 1005257828083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005257828083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4786941934 + ... + 4786942143.

It is an arithmetic number, because the mean of its divisors is an integer number (114886608936).

Almost surely, 2^{1005257828085} is an apocalyptic number.

1005257828085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005257828085 is a deficient number, since it is larger than the sum of its proper divisors (832927914891).

1005257828085 is an equidigital number, since it uses as much as digits as its factorization.

1005257828085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9573884092.

The product of its (nonzero) digits is 1792000, while the sum is 51.

The spelling of 1005257828085 in words is "one trillion, five billion, two hundred fifty-seven million, eight hundred twenty-eight thousand, eighty-five".